Answer:
The slope is 1.
Step-by-step explanation:
Glenn’s teacher asked him to use the absolute value of −7 in an equation.What number should he use?
Answer:
7
Step-by-step explanation:
opposite value of -7 is 7
Find derivative for 3x³ + 2xy + 4y²=0.
Answer:
[tex]y'=\frac{-9x^2-2y}{2(x+4y)}[/tex]
General Formulas and Concepts:
Algebra
Equality PropertiesCalculus
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]Basic Power Rule: f’(x) = c·nxⁿ⁻¹Derivative of a constant equals 0Implicit DifferentiationStep-by-step explanation:
Step 1: Define equation
3x³ + 2xy + 4y² = 0
Step 2: Find 1st Derivative
Set up Derivative: [tex]\frac{dy}{dx} [3x^3 + 2xy + 4y^2 = 0][/tex]Take Implicit Differentiation: [tex]9x^2+(2y+2xy')+8yy'=0[/tex]Step 3: Find Derivative (Solve for y')
Define: [tex]9x^2+(2y+2xy')+8yy'=0[/tex]Move 9x² over: [tex]2y+2xy'+8yy'=-9x^2[/tex]Move 2y over: [tex]2xy'+8yy'=-9x^2-2y[/tex]Factor y': [tex]y'(2x+8y)=-9x^2-2y[/tex]Isolate y': [tex]y'=\frac{-9x^2-2y}{2x+8y}[/tex]Factor GCF: [tex]y'=\frac{-9x^2-2y}{2(x+4y)}[/tex]Answer:
[tex]\frac{dy}{dx}= -\frac{9x^2+2y}{2(x+4y)}[/tex]
Step-by-step explanation:
Find the derivative of [tex]3x^3 + 2xy + 4y^2 = 0[/tex].
In order to find the derivative of this function, [tex]\frac{dy}{dx}[/tex], we can start by noticing that there are two variables in this problem, x and y.
Since we want the derivative with respect to x, every time we encounter the variable “y” in this problem we can change it to [tex]\frac{dy}{dx}[/tex]. We will see this happen later on in the solving process by using implicit differentiation.
Let’s start by taking the derivative of the entire function:
[tex]\frac{d}{dx} (3x^3 + 2xy + 4y^2 = 0)[/tex]Using the Power Rule and the Product Rule, we can perform implicit differentiation on this equation. Let’s take the derivative of each separate piece in this function:
[tex]3x^3 \rightarrow 3(3x^3^-^1) \rightarrow 9x^2[/tex] Power Rule
[tex]2xy \rightarrow (2x \times \frac{dy}{dx} + y \times 2)[/tex] Product Rule
[tex]4y^2 \rightarrow 2(4y) \times \frac{dy}{dx} \rightarrow 8y \times \frac{dy}{dx}[/tex] Power Rule & Implicit Differentiation
Let’s combine these steps into one comprehensive operation:
[tex]9x^2 + (2x \times \frac{dy}{dx} + y \times 2) + 8y \times \frac{dy}{dx} = 0[/tex]Simplify.
[tex]9x^2 + 2x\frac{dy}{dx} + 2y + 8y \frac{dy}{dx} = 0[/tex]Keep all terms containing [tex]\frac{dy}{dx}[/tex] on the left side of the equation and move everything else to the right side of the equation. This way we can solve for [tex]\frac{dy}{dx}[/tex], which, in this case, is the derivative of the original function.
Subtract [tex]9x^2[/tex] and [tex]2y[/tex] from both sides of the equation.
[tex]2x\frac{dy}{dx} +8y \frac{dy}{dx} = -9x^2-2y[/tex]Factor out dy/dx from the left side of the equation.
[tex]\frac{dy}{dx}(2x+8y) = -9x^2-2y[/tex]Divide both sides of the equation by (2x + 8y).
[tex]\frac{dy}{dx}= \frac{-9x^2-2y}{2x+8y}[/tex]You can leave it in this form, or you can convert this to either:
[tex]\frac{dy}{dx}= \frac{-9x^2-2y}{2(x+4y)}[/tex][tex]\frac{dy}{dx}= -\frac{9x^2+2y}{2(x+4y)}[/tex]b) When heated an iron bar expands by 0.2%. If the increase in length is 1 cm,
what is the original length of the bar ?
Simple algebra.
When we convert this to an equation we get: 0.2% of something is equal to 1 unit.
So here's the equation: [tex]0.02x = 1[/tex]
After we transpose [tex]0.02[/tex], the equation become: [tex]x = \frac{1}{0.02}[/tex].
Divide [tex]1[/tex] with [tex]0.02[/tex] and you get [tex]50[/tex].
So the length of the original bar is [tex]50[/tex] cm. :D
function or not a function.
Solve the inequalities by graphing. Identify the graph that shows the following equations.
5x + 6y > 1
y - x < 0
Answer:
Option (7)
Step-by-step explanation:
5x + 6y > 1
6y > -5x + 1
y > [tex]\frac{1}{6}(-5x+1)[/tex]
y-intercept of the line = [tex]\frac{1}{6}=0.167[/tex]
Shaded area will be above the dotted line y = [tex]-\frac{1}{5}x+\frac{1}{6}[/tex]
y - x < 0
y < x
As y-intercept of the line is zero, given inequality will pass through (0, 0).
And the shaded area will be below the line.
Therefore, graph shown in Option (7) will be the correct option.
factorise
3x^2+22x+35
please give me this
Answer:
(3x + 7) (x + 5)
Step-by-step explanation:
Hope this helped :)
Answer:
(3x+7)(x+5)
Step-by-step explanation:
URGENT MATH WILL GIVE BRAINLIEST
Answer:
-22
Step-by-step explanation:
Algebraically determine whether the following function is Even, Odd, or Neither.
f(x) = x^3 - 2x
PLEASE SHOW WORK
Answer:
b. odd
Step-by-step explanation:
f(-x)^3-2x(-x)
f(-x)=-x^3+2x
f(-x)=-(x^3-2x)
f(-x)=-f(x)
The given function f(x) = x³ - 2x is an odd function.
Given that,
To determine whether the given function is odd, even, or neither.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The given function is f(x) = x³ - 2x,
For the given function to be odd f(-x) = -f(x)
put x = -x in the function,
f(-x) = (-x)³ - 2(-x)
f(-x) = -x³ + 2x
Thus. the given function f(x) = x³ - 2x is an odd function.
learn more about function here:
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What is the Bing Ban?
Answer:
Bing Bang?
Step-by-step explanation:
do you mean the Big Bang?
Take the parent graph y=x2
What would happen if the equation were to change to y=(x-3)2
Answer:
The first option is the correct answer.
Step-by-step explanation:
The graph would move to the right 3 units.
Calculate X you must include the steps in your solution and the definitions and/or conjuncture that you use
Answer: x = 8
because The upper triangle is an isosceles triangle (the two sides are equal)
=> 5x + 5 = 45°
<=> x = (45 - 5) : 5
<=> x = 40:5 = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
5x + 5 + 5x + 5 + 90 = 180, that is
10x + 100 = 180 ( subtract 100 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
the perimeter of an isosceles triangle in which the equal sides measures 12cm each and third side is 8cm_____. please show the working too ^^
Answer:
The perimeter of the isosceles triangle is 32 centimeters
Step-by-step explanation:
The perimeter of any figure is the sum of the lengths of outline sides
Let us use this fact to solve our question
∵ The perimeter of the triangle is the sum of the lengths of its 3 sides
∵ The triangle is an isosceles triangle
∵ The length of each two equal sides is 12 centimeters
∵ The length of the third side is 8 centimeters
→ Add the lengths of the 3 sides
∴ The perimeter of the triangle = 12 + 12 + 8
∴ The perimeter of the triangle = 32 centimeters
∴ The perimeter of the isosceles triangle is 32 centimeters
if f(x)=x^2+1 and g(x) =3x+1, find f(2) + g(3).
Answer:
15 brainliest please
Step-by-step explanation:
f(x)=x^2+1
f(2)=(2)^2 +1
= 5
g(x)=3x+1
g(3)=3(3)+1
= 10
5+10= 15
Gggkkrfnmjkvjudni edit moe to see the article in a few weeks before I could have it in here and I don’t think
PLEASEEEE HELPPPPPP WIll add extra pointtss
answer the question below yoyoyoyoyoyoyo
8 - 2 3/5
ANSWER ASAPPPPPP
TO BE BRAINLISET
AND EXPLAIN HOW AND BE RIGHT
Answer:
5 2/5
Step-by-step explanation:
sorry, I know the answer, but don't know how to explain in words
Answer:
The answer is 5.4
Step-by-step explanation:
To get this first you convert 2 3/5 into a decimal and that gives you 2.6.Now your equation is or 8+(-2.6) either way if you do both problems then you get 5.4.
[30 POINTS+BRAINLIEST]
Factory materials traverl faster on (conveyor belt or conveyor belt 2)?
because?
A.) The slope of m(x) is greater than the slope of p(x)
B.) The slope of p(x) is greater than the slope of m(x)
C.) The slope of m(x) is twice the slope of (px)
D.) The slope of p(x) is half the slope of m(x)
Answer:
your ansewer would be C
Step-by-step explanation:
i hope this helped you
The slope is the intensity of inclination thus the slope of p(x) is greater than the slope of m(x) thus option (A) is correct.
What is the slope?A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.
As per the given function,
p(x) = 157.1x
p(x)/x = slope = 157.1
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
In the function m(x) the slope will be as,
Slope = (188.4 - 125.6)/(3 - 2)
Slope = 62.8
Hence "The slope is the intensity of inclination thus the slope of p(x) is greater than the slope of m(x)".
To learn more about slopes,
https://brainly.com/question/3605446
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Mary ran 2 miles in 23 minutes how long will it take her to run 15 miles
If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual measure of angle 1?\
Answer:
The actual measure of ∠1 = 40°
Step-by-step explanation:
We are given: ∠1 = 2x+6 and ∠2 = 8x+4
and both angles are supplementary. we need to find the actual measure of ∠1
Supplementary angles: If the angles are supplementary their sum is equal to 180°
In our case ∠1 +∠2 = 180°
2x+6+8x+4=180
Solving the equation to find x, then we can find the actual measure of ∠1
[tex]2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17[/tex]
So, value of x = 17
Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6
[tex]\angle1=2(17)+6\\\angle1=34+6\\\angle1=40[/tex]
So, the actual measure of ∠1 = 40°
simplify!!
6x - 2+7x
Answer:
13x-2
Step-by-step explanation:
Answer:
13x - 2
Step-by-step explanation:
6x - 2 + 7x
13x - 2
Mr.Gartland writes the expression on the board
Answer:
what is the expression he wrote?
Step-by-step explanation:
Answer:the question
wh
Step-by-step explanation:
Courtney biked 8 laps around a park. The app on her phone showed she biked 11.12 miles. What is the constant of proportionality that relates the distance, y, to the number of laps, x?
A.
11.12
B.
1.39
C.
8
D.
3.12
Reset
Answer: 1.39 Step-by-step explanation: 11.12/8=1.39
steve jobs sells apples and gets paid a minimum weekly salary of $660. He also gets paid on a graduated commission scale. He gets 4% of the first $2000 and 6% of anything over $2000. How much would he earn if he sold $15,000 worth of apples last week?
A. 1520
B. 1500
C. 640
D. 660
Answer:
Step-by-step explanation:
660 flat salary
2000*4%= 80
13000*6%=780
660+80+780= 1520
Answer:
660+80+780= 1520
Step-by-step explanation:
Hope that helps
lemme know
The tape diagram models the lengths of two snowboarding trails. The expert trail is 750 meters longer than the beginner trail. How long is each trail? ( Beginner trail: 1 length. Expert trail: 4 lengths)
Answer:
In a tape diagram, each of the lengths represents a fixed quantity of something.
Let's suppose that each one of these lengths represents a distance d.
We also know that the expert trail is 750 meters longer than the beginner one.
And in the tape diagram, the expert trail has 3 more lengths than the beginner trail, then we must have that the difference in distance must be equivalent with the difference in lengths.
750m = 3*d
d = 750m/3 = 250m
Then each length in the tape diagram represents 250m
With this we can find the length of each trail.
The beginner trail has 1 length, then it is 1*250m = 250 meters long.
The expert trail has 4 lengths, then it is 4*250m = 1000 meters long.
True or false, f(x) is a function
Answer:
Step-by-step explanation:
True!!
help pls
6 x (2-8) + 4
Answer:
-32
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
In Solving This You will Need To;
*First You Open The Bracket Which is
6×(2-8)+4
6×2-8+4
*So after this you will multiply the 6 by the 2 which is going to be;
12-8+4
*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;
4+4
Then you add the four plus 4 so the final answer will be 8
(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)
Help pls help pls help pls help pls help pls
Answer:
Domain: -2 < x ≤ 3
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:
(-2, 3] or -2 < x ≤ 3
Answer:
ramen is the true answer to lifes problems
Step-by-step explanation:
Help me please please
Answer:
8/5 or 1.6
Step-by-step explanation:
Rise over run.
what is the interior of a decagon
Answer:
Decagon Definitions A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° 144 ° and they all add up to 1,440° 1,440 °.
Step-by-step explanation:
really hope this helps, Good luck ^w
